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Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
- Assessment Limits :
Function notation may not be used.
- Calculator :
Yes
- Context :
Allowable
- Test Item #: Sample Item 1
- Question:
Several functions represent different savings account plans.
Which functions are nonlinear?
- Difficulty: N/A
- Type: MS: Multiselect
- Test Item #: Sample Item 2
- Question: Jared puts 20 cents in a jar. The following week, he puts two times that original
amount in the jar. For each of the following six weeks, Jared continues to double
the amount of money he places in his savings jar each week.
Determine if the relationship is linear or nonlinear. Explain your choice using examples with ordered pairs.
- Difficulty: N/A
- Type: OR: Open Response
- Test Item #: Sample Item 3
- Question:
The function y = 3.50x + 2 represents the total amount of money, y, saved over x weeks.
What is true about the function?
- Difficulty: N/A
- Type: MC: Multiple Choice
- Test Item #: Sample Item 4
- Question:
Kayden creates a linear function where x is the input, y is the output, and m and b are constants.
A. Which equation could represent Kayden's function?
B. Which statement about the graph of Kayden's function is true for all values of m and b?
- Difficulty: N/A
- Type: SHT: Selectable Hot Text
Related Courses
Related Access Points
Related Resources
Formative Assessments
Lesson Plans
Original Student Tutorials
Perspectives Video: Professional/Enthusiast
Problem-Solving Task
Student Center Activity
Tutorials
Unit/Lesson Sequence
Virtual Manipulatives
MFAS Formative Assessments
Students are asked to describe defining properties of linear functions.
Students are asked to identify a function as either linear or nonlinear and to justify their decision.
Students are asked to provide an example of a nonlinear function and explain why it is nonlinear.
Students are asked to describe a linear function, its graph, and the meaning of its parameters.
Original Student Tutorials Mathematics - Grades 6-8
Learn how to write the equation of a linear trend line when fitted to bivariate data in a scatterplot in this interactive tutorial.
This is part 4 in 6-part series. Click below to open the other tutorials in the series.
Explore how to interpret the slope and y-intercept of a linear trend line when bivariate data is graphed on a scatterplot in this interactive tutorial.
This is part 5 in 6-part series. Click below to open the other tutorials in the series.
Learn how to use the equation of a linear trend line to interpolate and extrapolate bivariate data plotted in a scatterplot. You will see the usefulness of trend lines and how they are used in this interactive tutorial.
This is part 6 in 6-part series. Click below to open the other tutorials in the series.
Original Student Tutorials Mathematics - Grades 9-12
Have some fun with FUNctions! Learn how to identify linear and non-linear functions in this interactive tutorial.
Student Resources
Original Student Tutorials
Have some fun with FUNctions! Learn how to identify linear and non-linear functions in this interactive tutorial.
Type: Original Student Tutorial
Learn how to use the equation of a linear trend line to interpolate and extrapolate bivariate data plotted in a scatterplot. You will see the usefulness of trend lines and how they are used in this interactive tutorial.
This is part 6 in 6-part series. Click below to open the other tutorials in the series.
- Scatterplots Part 1: Graphing
- Scatterplots Part 2: Patterns, Associations and Correlations
- Scatterplots Part 3: Trend Lines
- Scatterplots Part 4: Equation of the Trend Line
- Scatterplots Part 5: Interpreting the Equation of the Trend Line
Type: Original Student Tutorial
Explore how to interpret the slope and y-intercept of a linear trend line when bivariate data is graphed on a scatterplot in this interactive tutorial.
This is part 5 in 6-part series. Click below to open the other tutorials in the series.
- Scatterplots Part 1: Graphing
- Scatterplots Part 2: Patterns, Associations and Correlations
- Scatterplots Part 3: Trend Lines
- Scatterplots Part 4: Equation of the Trend Line
- Scatterplots Part 6: Using Linear Models
Type: Original Student Tutorial
Learn how to write the equation of a linear trend line when fitted to bivariate data in a scatterplot in this interactive tutorial.
This is part 4 in 6-part series. Click below to open the other tutorials in the series.
- Scatterplots Part 1: Graphing
- Scatterplots Part 2: Patterns, Associations and Correlations
- Scatterplots Part 3: Trend Lines
- Scatterplots Part 5: Interpreting the Equation of the Trend Line
- Scatterplots Part 6: Using Linear Models
Type: Original Student Tutorial
Problem-Solving Task
This task lets students explore the differences between linear and non-linear functions. By contrasting the two, it reinforces properties of linear functions.
Type: Problem-Solving Task
Student Center Activity
Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.
Type: Student Center Activity
Tutorials
In this video, you will determine if the situation is linear or non-linear by finding the rate of change between cooordinates. You will check your work by graphing the coordinates given.
Type: Tutorial
In this video, you will practice writing the slope-intercept form for a line, given a table of x and y values.
Type: Tutorial
Students will learn how to find and graph the x and y intercepts from an equation written in standard form.
Type: Tutorial
Students will learn how to find the x and y intercepts from an equation in standard form.
Type: Tutorial
This tutorial shows students how to find the y inercept from a table.
Type: Tutorial
Given two points on a line, you will find the slope and the y-intercept. You will then write the equation of the line in slope-intercept form.
Type: Tutorial
Students will learn how to graph a linear equation using a table. Students will not be required to graph from slope-intercept form, although they will convert the equation from standard form to slope-intercpet form before they create the table.
Type: Tutorial
This tutprial shows how to graph a line in slope-intercept form.
Type: Tutorial
It's helpful to represent an equation on a graph where we plot at least 2 points to show the relationship between the dependent and independent variables. Watch and we'll show you.
Type: Tutorial
Equations of the form y = mx describe lines in the Cartesian plane which pass through the origin. The fact that many functions are linear when viewed on a small scale, is important in branches of mathematics such as calculus.
Type: Tutorial
Linear equations of the form y=mx+b can describe any non-vertical line in the cartesian plane. The constant m determines the line's slope, and the constant b determines the y intercept and thus the line's vertical position.
Type: Tutorial
Virtual Manipulatives
In this activity, students adjust slider bars which adjust the coefficients and constants of a linear function and examine how their changes affect the graph. The equation of the line can be in slope-intercept form or standard form. This activity allows students to explore linear equations, slopes, and y-intercepts and their visual representation on a graph. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.
Type: Virtual Manipulative
Allows students access to a Cartesian Coordinate System where linear equations can be graphed and details of the line and the slope can be observed.
Type: Virtual Manipulative
This interactive simulation investigates graphing linear and quadratic equations. Users are given the ability to define and change the coefficients and constants in order to observe resulting changes in the graph(s).
Type: Virtual Manipulative
Parent Resources
Problem-Solving Task
This task lets students explore the differences between linear and non-linear functions. By contrasting the two, it reinforces properties of linear functions.
Type: Problem-Solving Task
Virtual Manipulative
Allows students access to a Cartesian Coordinate System where linear equations can be graphed and details of the line and the slope can be observed.
Type: Virtual Manipulative
